dorsal/arxiv
View SchemaPolynomial Solution of Non-Central Potentials
| Authors | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702186 |
| URL | https://arxiv.org/abs/quant-ph/0702186 |
| DOI | 10.1007/s10773-007-9356-8 |
| Journal | Int. J. Theor. Phys. 46, 2384(2007) |
Abstract
We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.
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"abstract": "We show that the exact energy eigenvalues and eigenfunctions of the\nSchrodinger equation for charged particles moving in certain class of\nnon-central potentials can be easily calculated analytically in a simple and\nelegant manner by using Nikiforov and Uvarov (NU) method. We discuss the\ngeneralized Coulomb and harmonic oscillator systems. We study the Hartmann\nCoulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials\nas special cases. The results are in exact agreement with other methods.",
"arxiv_id": "quant-ph/0702186",
"authors": [
"Sameer M. Ikhdair",
"Ramazan Sever"
],
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"quant-ph"
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"doi": "10.1007/s10773-007-9356-8",
"journal_ref": "Int. J. Theor. Phys. 46, 2384(2007)",
"title": "Polynomial Solution of Non-Central Potentials",
"url": "https://arxiv.org/abs/quant-ph/0702186"
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